Mixture and Alligation

1.		A trader has 88 kg of rice, a part of which he sells at 14% profit and the rest at 8% loss. On the whole, his loss is 4%. What is the quantity sold at 8% loss?

16 kg

72 kg

64 kg

78 kg

2.		A trader mixes 36 kg of grain at Rs.26 per kg with 24 kg of grain of other variety at Rs.36 per kg and sells the mixture at Rs.33 per kg. His profit percent is:

(6) 2/3%

8%

10%

No profit, no loss

3.		A grain merchant has 500 kg of rice, a part of which he sells at 8% profit and the rest at 18%. He gains 14% on the whole. The quantity sold at 18% profit is:

200 kg

300 kg

150 kg

180 kg

4.		A tea merchant buys a kind of tea at Rs 8 per kg and he mixes it with another kind of tea at Rs 28 per kg. In what proportion must he mix the two kinds of teas so that the mixture is sold at Rs 23 per kg to gain 15%?

2:1

3:2

1:2

2:3

5.		A trader has 1000 Kg of wheat, part of which he sells at 5% profit and the rest at 20% profit. He gains 15% on the whole. Find how much wheat is sold at 5% profit?

600 kg

500 kg

666.66 kg

333.33 kg

6.		A bucket contains 60 litres of pure wine, in which some quantity is drawn off and replaced with water. This process is repeated for two times. Find the quantity drawn off each time if the final ratio of wine to water is 81 : 19?

4 litres

6 litres

3 litres

5 litres

7.		There are two vessels. In the first vessel, the ratio of copper and aluminium is 1 : 2 and in the 2nd vessel, 1 : 4. In what ratio these two vessel should be mixed to make 3rd vessel in which the ratio of copper and aluminium become 1 : 3?

5:3

3:5

2:5

5:2

8.		In a container has 8 liters of milk. 2 liters of milk is removed and replaced with water. This process is repeated two times more. What amount of milk is present in the container (in litres)?

5.125

3.875

3.375

4

9.		A dairy man pays Rs 64 per litre of milk. He adds water and sells the mixture at Rs 80 per litre thereby making a profit of 37.5%. Find the ratio of the water to milk in the sold product?

1 : 15

1 : 20

1 : 12

1 : 10

10.		One type of liquid contains 25% of acid, the other contains 20% of acid. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of acid in the new mixture?

23%

25%

27%

29%